Let x= the regular price
.75x=62.41
x is about 83.21
Answer:
a) 1.8 
b) 3.6 
Step-by-step explanation:
Conversion and calculation of areas
The area of a rectangle is A=wh, where w is the width and h is the height. There are 3 feet in one yard
a)
We are told Kalie put 6 stickers, each one of 1/2 centimeters (0.5 cm) wide by 3/5 (0.6 cm) centimeter long. The area of one sticker is
A=(0.5)(0.6)=0.3 
Assuming there is no overlapping, the 6 stickers have a total area
6*0.3
=1.8 
b)
Each of Elana's wrapping papers measures 2/5 yards long and 1/4 yard wide. Converting them to feet we have
long=2/5*3=1.2 feet
wide=1/4*3=0.75 feet
Area of each paper=1.2 feet*0.75 feet=0.9 
Area of the entire board, assuming no overlapping and no space left uncovered=4*0.9 
Area of board=3.6 
Answer:
19 beers must be sampled.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 1.645.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.
This means that 
If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?
This is n for which M = 0.1. So






Rounding up:
19 beers must be sampled.
A right triangle's longest side is the hypotenuse
let x=longest, y=middle, and z=shortest
x=y+2
y=2z-1
therefore x=(2z-1)+2=2z+1
find z
z^2+y^2=x^2 by Pythagorean theorem
plug in x and y in terms of z
z^2+(2z-1)^2=(2z+1)^2
z^2+4z^2-4z+1=4z^2+4z+1
subtract the right-hand side's value from the left-hand side's
z^2-8z=0
z(z-8)=0
z=0, 8
z cannot be zero as the sides must have some value to it.
Therefore the shortest side is equal to 8